The kinetic energy 𝑘 of a particle moving along a circle of radius 𝑅 depends on the distance covered 𝑠 as 𝑘 = 𝑎𝑠 2 where 𝑎 is a constant

April 19, 2022

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Physics Problems

Question : The kinetic energy 𝑘 of a particle moving along a circle of radius 𝑅 depends on the distance covered 𝑠 as 𝑘 = 𝑎𝑠 2 where 𝑎 is a constant

(A) $2a\dfrac{s^{2}}{R}$

(B) $2as\left( 1+\dfrac{s^{2}}{R^{2}}\right) ^{\dfrac{1}{2}}$

(D) $2a\dfrac{R^{2}}{s}$

Answer : option (B)

Solution :

The kinetic energy 𝑘 of a particle moving along a circle of radius 𝑅 depends on the distance covered 𝑠 as 𝑘 = 𝑎𝑠 2 where 𝑎 is a constant